{"id":"W3200748477","doi":"10.1088/1751-8121/ac3b86","title":"Lattice star and acyclic branched polymer vertex exponents in 3 <i>d</i>","year":2021,"lang":"en","type":"preprint","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Exponent; Scaling; Sigma; Lattice (music); Combinatorics; Star (game theory); Critical exponent; Vertex (graph theory); Star polymer; Mathematics; Physics; Mathematical physics; Statistical physics; Polymer; Mathematical analysis; Geometry; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000344325,0.0003491434,0.0008923595,0.00005212392,0.00004988258,0.0001824107,0.0002262066,0.0001282133,0.0002681151],"category_scores_gemma":[0.00004484479,0.0002736897,0.0002575094,0.0001177165,0.0006485148,0.0001399436,0.0005428052,0.001025549,0.00000644484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000182852,"about_ca_system_score_gemma":0.0001099967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003448566,"about_ca_topic_score_gemma":6.803263e-8,"domain_scores_codex":[0.998009,0.0001736434,0.0007543523,0.0003193544,0.0004373439,0.0003063542],"domain_scores_gemma":[0.9983233,0.0007384991,0.0002997297,0.0002109194,0.0001509181,0.0002766745],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007061461,0.000711798,0.0002785564,0.0001980473,0.0001703325,0.00002172892,0.0006821434,0.00001638891,0.0003036922,0.9916857,0.00000915268,0.005851805],"study_design_scores_gemma":[0.0008526713,0.00007080119,0.000391242,0.0006250251,0.0001686999,0.00001745797,0.0003010595,0.00481332,0.001550313,0.9909226,0.000004882115,0.0002818926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9831173,0.0003527493,0.01439999,0.0006506772,0.000136547,0.0001360033,0.00002441094,0.000006913579,0.001175347],"genre_scores_gemma":[0.9971114,0.00002429012,0.002245059,0.0001245458,0.0004262524,0.000007688637,0.00001251651,0.00003257669,0.0000156106],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0139941,"threshold_uncertainty_score":0.9999715,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007747988136081116,"score_gpt":0.2379383047256027,"score_spread":0.2301903165895215,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}